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gavmur [86]
3 years ago
15

8 people eat at Charlie Brown's for Thanksgiving. How many different seating

Mathematics
2 answers:
never [62]3 years ago
4 0

Answer: 40,320

Step-by-step explanation: Let's say that there is person A,B,C,D,E,F,G,H. and 8 chairs. For the first chair, 8 different people could potentially sit in it, making 8 different possibilities. No matter who sits there, the logic follows the next table. However, since one person is sitting in the first chair, there are 7 different possibilities about who would be sitting in the second chair. If you multiply the two together, there are 56 different possibilities just for the first and second chair. For the third chair, there are 6 different possibilities about whom could sit. Multiply 56*6 and you get 336 possibilities. Keep multiplying out and you get a grand total of 40,320 different arrangements!

Alinara [238K]3 years ago
4 0

Answer:

5040

Step-by-step explanation:

The answer is (8 - 1)!

The reason is that the first person is fixed. Any place is the same as any other place. After that there are 7! choices for the next position.

Answer: 5040

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Write the equation of the line that passes through the point (-4, -9) and has a slope of 1/2​
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Y = 1/2x + b
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Read 2 more answers
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adoni [48]

Answer:

x = -3

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Take the 3x away from the right side.

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-8x = -24

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8 0
3 years ago
1. Find the domain of the given function. (1 point)
Vika [28.1K]
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 using a graphical tool    see the attachment  
the answer is C) x ≥ -3, x ≠ 2  
 2. Identify intervals on which the function is increasing, decreasing, or constant.
g(x) = 2 - (x - 7)2
 using a graphical tool     
see the attachment
 the answer is  C) Increasing: x < 7; decreasing: x > 7
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 4. Perform the requested operation or operations.
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let do
g(x)=5x+5...........so
f(x)= 9/( x^1/2)
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6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?
Original size- >4km*4km=16 km2
4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km
Therefore
3km----------------------------- 1 sec
(8km-4km)---------------------x
X=4/3=1.33 sec
The answer is D) 1.33 sec

7. Find the inverse of the function.
f(x) = the cube root of quantity x divided by seven. - 9
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f(x)=((x/7)-9) ^(1/3)
replace f(x) with y
y=((x/7)-9) ^(1/3)
switch x and y
x=((y/7)-9) ^(1/3)
solve for y
x^3=((y/7)-9)
x^3+9=y/7
y=7(x^3+9)
the answer is C) f-1(x) = 7(x3 + 9)  

8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9

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9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '

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using a graphical tool     see the attachment

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11. Write the quadratic function in vertex form.y = x2 + 4x + 7 

Complete the square on the right side of the equation
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a=1,b=4,c=7
Consider the vertex form of a parabola.
a(x+d)2+e
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d=4/(2*1)=2
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using a graphical tool   (see the attachment)x1=-1
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14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3 
 f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946
  The answer is the B) 946

15.  Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24

The constant term of () is -24

 The leading coefficient is 1.

We have to only consider the factors of the constant (leading coefficient = 1)

The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24

The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

6 0
3 years ago
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